Abstract

During the plastic deformation of a metallic polycrystal many kinds of heterogeneous deformation are often observed, both on an intergranular scale and inside the grains. The heterogeneities of the plastic intragranular strains are associated with the latent hardening and with internal stresses.In order to deal with this problem, it is assumed that some regions of simple glide exist inside the grains, separated by plane interfaces. These interfaces are assumed to be habit planes, separating the domain of simple glide and a homogeneous continuous medium, whose deformation is the one imposed on the polycrystal.The compatibility relations between the domain of simple glide and the imposed deformation, enable for determination of the gliding amplitude, normal to the habit plane, and the rotation of the crystal lattice inside this domain.In the case of rolling for F.C.C. and B.C.C. metals, we have analyzed the spin of the crystal lattice in the form of a distribution function. We observe sources and sinks which correspond to the stable orientations, shown by the orientation distribution function. The comparison between these calculations and classical data of rolling texture analysis indicates that a certain number of observed components are due to deformation inhomogeneities, as suggested previously.The comparison of the orientation of the habit planes shows that there exists a definite relation between habit planes and micro shear bands.